Sharp estimation of Hermitian-Toeplitz determinants for Janowski type starlike and convex functions

Kumar, Virendra; Srivastava, Rekha; Cho, Nak Eun

doi:10.18514/mmn.2020.3361

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The Class Of Normalised Analytic Functions Of the Form F1

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2021

2023

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Article6

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Cited by 7 publications

(2 citation statements)

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“…Kumar et al [22] gave a generalisation to the results investigated in [12] by investigating those results for Janowski starlike and convex functions. Kumar [20] investigated lower and upper bounds on the second and third order Hermitian-Toeplitz determinants for certain subclasses of close-to-convex functions.…”

Section: The Class Of Normalised Analytic Functions Of the Form Fmentioning

confidence: 97%

Hermitian–Toeplitz determinants for functions with bounded turning

Kumar¹,

Cho²

2021

Turk J Math

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There is a rich literature on estimation of second and third Hankel determinants for normalised analytic functions in geometric function theory. It is also, therefore, natural to explore the concept of the Hermitian-Toeplitz determinants for such functions. In this paper, the sharp lower and upper estimations for third-order Hermitian-Toeplitz determinant for functions with bounded turning of order α , are obtained.

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Section: The Class Of Normalised Analytic Functions Of the Form Fmentioning

confidence: 97%

Hermitian–Toeplitz determinants for functions with bounded turning

Kumar¹,

Cho²

2021

Turk J Math

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“…Cudna et al [4] determined sharp lower and upper estimate for det T 2,1 (f ) and det T 3,1 (f ) for the functions belonging to the classes of starlike and convex functions of order α, 0 ≤ α < 1. Kumar et al [16] generalized this work and obtained the bound for the classes of Janowski starlike and Janowski convex functions. Obradović and Tuneski [21] derived the bounds for the class S and some of its subclasses.…”

Section: Introductionmentioning

confidence: 98%